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Mathematical Notations (Elements in the Philosophy of Mathematics)

SKU: 9781009472142

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This book examines the philosophical foundations and cognitive significance of mathematical notation systems. Dirk Schlimm explores how different notational choices shape mathematical thinking and practice.

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Description

Mathematical Notations investigates the philosophical importance of notation systems in mathematics, challenging the view that notation is merely a superficial tool for expressing pre-existing mathematical ideas. Schlimm argues that notational choices profoundly influence how mathematicians think, discover, and communicate mathematical concepts.

The book traces the historical development of various mathematical notations and analyzes how different symbolic systems enable or constrain mathematical reasoning. Through detailed case studies, Schlimm demonstrates that notation is not neutral but actively shapes mathematical practice and understanding. This philosophical examination reveals how the evolution of mathematical symbols reflects deeper transformations in mathematical thought and methodology.

Suitable for philosophers of mathematics, historians of mathematics, and those interested in semiotics and cognitive science, this work provides essential insights into the underappreciated role of notation in mathematical development and reasoning.

Additional information

Author

Dirk Schlimm

Publisher

‏ : ‎ Cambridge University Press

ISBN

9781009472142

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